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Electrochemical study of mass transfer in decaying annular swirl flow Part II: Correlation of mass transfer data

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Abstract

This paper presents correlations of local mass transfer at the inner rod and the outer wall in annular decaying swirl flow generated by axial vane swirl generators. Four swirl generators with vane angles in the range 15–60° to the duct axis were used and experiments were carried out in a Reynolds number range 3300–50000 and at a Schmidt number of 1650. The results were correlated in the general form Sh x = 0.0204 Re x 0.86 (1 + tan θ i )0.53 Sc 1/3, for the inner rod, and Sh x = 0.0224 Re x 0.86 (1 + tan θo)0.55 Sc 1/3, for the outer pipe. Comparison is made with heat transfer data for work with a similar entry configuration.

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Abbreviations

c :

coefficient

C :

heat capacity (J kg−1 K−1)

d :

diameter (m)

D AB :

diffusion coefficient (m2 s−1)

E :

relative mean square error

f (N) :

geometric parameter function

h :

heat transfer coefficient (W m−2) K−1)

k :

thermal conductivity (W m−1 K−1)

k m :

mass transfer coefficient (m s−1)

L :

axial length (m)

n :

numerical exponent

N :

number of experimental data points, numbei of vanes

r :

radial distance (m)

R :

annulus diameter ratio

t :

tape twist ratio in Equation 1

T :

temperature (K)

U :

mean axial velocity component (m s−1)

W :

width of vanes (m)

x :

axial distance (m)

Nu :

Nusselt number/(hd/k), (hx/k)

Pr :

Prandtl number/(Cµ/k)

Re :

Reynolds number/(Ud/v), (Ux/ν), (Ud e/ν)

Sc :

Schmidt number/(v/D AB)

Sh :

Sherwood number/(k m,d/D), (k m x/D)

θ:

swirler blade angle

µ:

dynamic viscosity (kg m−1 s−1)

ν:

kinematic viscosity (m2 s−1)

p :

density (kg m−3)

a:

fully developed axial value

B:

bulk

cal:

calculated

e:

equivalent

exp:

experimental

i:

inner rod

L:

based on length

m:

mean value

o:

outer wall

cal:

calculated value

r:

radial component

s:

swirl flow

ti:

tangential inlet

W:

wall

x:

axial component, based on length

θ:

based on peak tangential velocity

References

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Author notes

  1. S. Yapici

    Present address: Mühendislik Fakültesi, Kimya Müh. Böl., Atatürk Üniversitesi, 25240, Erzurum, Türkiye

Authors and Affiliations

  1. School of Engineering, Exeter University, North Park Road, EX4 4QF, Exeter, UK

    S. Yapici, M. A. Patrick & A. A. Wragg

Authors
  1. S. Yapici
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  2. M. A. Patrick
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  3. A. A. Wragg
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Yapici, S., Patrick, M.A. & Wragg, A.A. Electrochemical study of mass transfer in decaying annular swirl flow Part II: Correlation of mass transfer data. J Appl Electrochem 25, 15–22 (1995). https://doi.org/10.1007/BF00251259

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  • DOI: https://doi.org/10.1007/BF00251259

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